Answer:
---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
<em>Hence: x > 50 in interval notation is (50, ∞)</em>
To get the greatest common factor of a list of numbers, you can use a neat trick.
First, get the greatest common factor of the first two. Then, the greatest common factor of that and the third, and so on.
In this case, we need to get the greatest common factor of 24 and 40.
I'll use Euclid's algorithm (you can look that up in google, it's just a nice way to find the GCF of two numbers)
24, 40
40, 24
24, 16
16, 8
8, 0
So we get 8. Now we need to get the greatest common factor of 8 and 56:
8, 56
56, 8
8, 0
We get 8 again, and that is the greatest common factor of the three numbers.
Hope this helps :)
Answer:
54689
Step-by-step explanation:
If we used “a” tons of grade A and “b” tons of grade B we would get a + b tons of mixture.
Converting to costs we get 36a + 24b = 33(a + b)
36a + 24b = 33a + 33b
36a - 33a = 33b - 24b
3a = 9b
a = 3b
This means the mixture contains 3 times as much of grade A than grade B
The ratio of grade A : grade B = 3 : 1
For example if we mixed 3 tons of A with 1 ton of B we would get 4 tons of mixture
The cost would be 3 x 36 + 1 x 24 = 108 + 24 = $132 for 4 tons = $33 per ton
